References
- Aronson , D. , Crandall , M. G. and Peletier , L. A. 1982 . Stabilization of solutions of a degenerate nonlinear diffusion problem . Nonlinear Anal. , 6 : 1001 – 1022 .
- Budd , C. J. , Collins , G. J. and Galaktionov , V. A. 1998 . An asymptotic and numerical description of self-similar blow-up in quasilinear parabolic equations . J. Comput. Appl. Math. , 97 : 51 – 80 .
- Deng , W. B. , Duan , Z. W. and Xie , C. H. 2001 . The blow-up rate for a degenerate parabolic equation with a nonlocal source . J. Math. Anal. Appl. , 264 : 577 – 597 .
- Dibenedetto , E. 1993 . Degenerate Parabolic Equations , New York : Springer .
- Dunford , N. and Schwartz , J. T. 1963 . Linear Operators. Part II: Spectral Theory. Self Adjoint Operators in Hilbert Space , New York : John Wiley and Sons .
- Floater , M. S. 1991 . Blow up at the boundary for degenerate semilinear parabolic equations . Arch. Rat. Mech. Anal. , 114 : 57 – 77 .
- Friedman , A. 1964 . Partial Differential Equations of Parabolic Type , Englewood Cliffs, NJ : Prentice Hall .
- Friedman , A. and McLeod , B. 1985 . Blow-up of positive solutions of semi-linear heat equations . Indiana Univ. Math. J. , 34 : 425 – 447 .
-
Galaktionov
,
V. A.
Boundary value problems for the nonlinear parabolic equation
, 551 – 555 . Differentsial'nye Uravneniya (in Russian) . Differen. Eq. 17 (1981), (in English), 17 (1981), 836–842
- Ladde , G. S. , Lakshmikantham , V. and Vatsala , A. S. 1985 . Monotone Iterative Techniques for Nonlinear Differential Equation , Boston, MA : Pitman .
- Levine , H. A. 1990 . The role of critical exponents in blow-up theorems . SIAM Rev. , 32 : 268 – 288 .
- Lieberman , G. M. 1993 . Degenerate Parabolic Equations , New York : Springer .
- Liu , Q. L. , Chen , Y. P. and Xie , C. H. 2003 . Blow-up for a degenerate parabolic equation with a nonlocal source . J. Math. Anal. Appl. , 285 : 487 – 505 .
- Pao , C. V. 1992 . Nonlinear Parabolic and Elliptic Equations , New York : Plenum .